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Finding the Fourth Proportional to 7,560.54, 11,343.24 and 3,178.17

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Solution

The fourth proportional to 7,560.54, 11,343.24 and 3,178.17 is: 4,768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.54 : 11,343.24 = 3,178.17 : x
  2. Step 2: Convert to fraction form
    7,560.54/11,343.24 = 3,178.17/x
  3. Step 3: Cross multiply
    7,560.54x = 11,343.24 × 3,178.17
  4. Step 4: Simplify right side
    7,560.54x = 36,050,745.07
  5. Step 5: Solve for x
    x = 36,050,745.07/7,560.54
  6. Step 6: Final answer
    x = 4,768.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.